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Finding the Fourth Proportional to 8,238.60, 12,357.89 and 6,384.20

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Solution

The fourth proportional to 8,238.60, 12,357.89 and 6,384.20 is: 9,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.60 : 12,357.89 = 6,384.20 : x
  2. Step 2: Convert to fraction form
    8,238.60/12,357.89 = 6,384.20/x
  3. Step 3: Cross multiply
    8,238.60x = 12,357.89 × 6,384.20
  4. Step 4: Simplify right side
    8,238.60x = 78,895,147.63
  5. Step 5: Solve for x
    x = 78,895,147.63/8,238.60
  6. Step 6: Final answer
    x = 9,576.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.